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Finding the Fourth Proportional to 703.64, 971.00 and 388.89

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Solution

The fourth proportional to 703.64, 971.00 and 388.89 is: 536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 971.00 = 388.89 : x
  2. Step 2: Convert to fraction form
    703.64/971.00 = 388.89/x
  3. Step 3: Cross multiply
    703.64x = 971.00 × 388.89
  4. Step 4: Simplify right side
    703.64x = 377,610.89
  5. Step 5: Solve for x
    x = 377,610.89/703.64
  6. Step 6: Final answer
    x = 536.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.